The Blues are continuing their youth drive in the transfer market this summer with his capture.
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The 19-year-old has signed a six-year contract for a modest fee of around £8.5m.
The Blues can even increase the length of his contract by a further year with a club option.
Wiley is in the United States Olympic team for the Paris Games, delaying his joining up with a club side.
He will be heading on loan to another BlueCo owned team - Strasbourg in France.